Edge states as mediators of bypass transition in boundary-layer flows

Abstract

The concept of edge state is investigated in the asymptotic suction boundary layer in relation with the receptivity process to noisy perturbations and the nucleation of turbulent spots. Edge tracking is first performed numerically, without imposing any discrete symmetry, in a large computational domain allowing for full spatial localisation of the perturbation velocity. The edge state is a three-dimensional localised structure recurrently characterised by a single low-speed streak that experiences erratic bursts and planar shifts. This recurrent streaky structure is then compared with predecessors of individual spot nucleation events, triggered by non-localised initial noise. The present results suggest a nonlinear picture, rooted in dynamical systems theory, of the nucleation process of turbulent spots in boundary-layer flows, in which the localised edge state play the role of state-space mediator.

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• Exact Coherent Structures in Fully Developed Two-Dimensional Turbulence
• A probabilistic protocol for the assessment of transition and control
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• Edge state modulation by mean viscosity gradients
• A model for the collapse of the edge when two transitions routes compete
• Optimizing the control of transition to turbulence using a Bayesian method
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